This article presents a description of a novel method for the identification of a decrease in the temperature of a liquid medium transported by railroad tank cars. No exact analytical solution exists for this phenomenon; therefore, the authors of this article have prepared a mathematical expression for the cooling process of the transported fluid by applying a dimensional analysis, which facilitated the identification of the dimensionless criteria using the relevant dimensional parameters. A functional dependence between the criteria can be identified through a physical or numerical experiment. In this case, a database of the results from a detailed numerical model was used; however, its disadvantage is that the calculation takes much longer than in a simpler similarity model. The output of the similarity model was a function of the average temperature of the fluid at a time applicable to various alternatives in the geometrical, physical, and boundary conditions. The standard deviation of the difference between the temperatures predicted by the similarity model and those calculated by the numerical simulation T_mod − T_sim represented 4.8% relative to the simulated fluid temperature.

中文翻译：

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运输过程中流体冷却过程的相似模型

本文介绍了一种用于识别铁路罐车运输的液体介质温度下降的新颖方法。对于这种现象，没有确切的分析解决方案。因此，本文的作者通过应用尺寸分析为输送的流体的冷却过程准备了数学表达式，这有助于使用相关的尺寸参数来识别无量纲标准。可以通过物理或数字实验来确定标准之间的功能依赖性。在这种情况下，将使用详细数值模型的结果数据库。但是，它的缺点是计算所需的时间比简单的相似模型要长得多。相似性模型的输出是一次流体平均温度的函数，该时间适用于几何，物理和边界条件下的各种替代方案。相似模型预测的温度与数值模拟计算的温度之间的差的标准偏差T _mod - T _sim相对于模拟流体温度为4.8％。